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The biologist is studying Black Carp invasiveness in Lake Ontario next. He doesn't have time to sample the fish himself, so instead he instead asks a fisherman who has been fishing off of one of Toronto's piers all morning about his catch. The fisherman responds that, of the 75 fish he has caught, 29 have been Black Carp. What is the lower bound of a 99% confidence interval for the true proportion of fish that are Black Carp in Lake Ontario ? O a. 0.1448 O b. The assumptions necessary to calculate the confidence interval are not satisfied and the calculation cannot be performed. O c. 0.3304 O d. 0.2419 O e. 0.2556

The biologist is studying Black Carp invasiveness in Lake Ontario next. He doesn't have time to sample the fish himself, so instead he instead asks a fisherman who has been fishing off of one of Toronto's piers all morning about his catch. The fisherman responds that, of the 75 fish he has caught, 29 have been Black Carp. What is the lower bound of a 99% confidence interval for the true proportion of fish that are Black Carp in Lake Ontario ? O a. 0.1448 O b. The assumptions necessary to calculate the confidence interval are not satisfied and the calculation cannot be performed. O c. 0.3304 O d. 0.2419 O e. 0.2556

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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The biologist is studying Black Carp invasiveness in Lake Ontario next. He doesn't have time to sample the fish himself, so instead he instead asks a fisherman who has been fishing off of one of Toronto's piers all morning about his catch. The fisherman responds that, of the 75 fish he has caught, 29 have been Black Carp. What is the lower bound of a 99% confidence interval for the true proportion of fish that are Black Carp in Lake Ontario ? O a. 0.1448 O b. The assumptions necessary to calculate the confidence interval are not satisfied and the calculation cannot be performed. O c. 0.3304 O d. 0.2419 e. 0.2556
Transcribed Image Text:The biologist is studying Black Carp invasiveness in Lake Ontario next. He doesn't have time to sample the fish himself, so instead he instead asks a fisherman who has been fishing off of one of Toronto's piers all morning about his catch. The fisherman responds that, of the 75 fish he has caught, 29 have been Black Carp. What is the lower bound of a 99% confidence interval for the true proportion of fish that are Black Carp in Lake Ontario ? O a. 0.1448 O b. The assumptions necessary to calculate the confidence interval are not satisfied and the calculation cannot be performed. O c. 0.3304 O d. 0.2419 e. 0.2556
Expert Solution
Step 1

Given,n=75x=29sample proportion(p^)=xnp^=2975≅0.38671-p^=1-0.3867=0.6133α=1-0.99=0.01α2=0.005Z0.005=2.5758      (from Z-table)

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